Math 893
(2020)
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Core Algebra I
(Schedule)
Date
Topic/Video
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Due
2020.09.08
Groups and permutations
notes 01
2020.09.10
Subgroups and automorphsims
notes 02
2020.09.15
Homomorphisms and actions
notes 03
problems 01
2020.09.17
Cosets and quotients
notes 04
2020.09.22
Isomorphisms, orbits, and stabilizers
notes 05
problems 02
2020.09.24
Sylow theorems
notes 06
2020.09.29
Small groups and simple groups
notes 07
problems 03
2020.10.01
Free groups, generators, and relations
notes 08
2020.10.06
Rings and domains
notes 09
problems 04
2020.10.08
Isomorphisms and maximal ideals
notes 10
2020.10.13
Fractions and polynomials
notes 11
problems 05
2020.10.15
Roots and Euclidean domains
notes 12
2020.10.20
Greatest common divisors and factorizations
notes 13
problems 06
2020.10.22
Noetherian rings and factoring polynomials
notes 14
2020.10.27
Fall break
2020.10.29
Fall break
2020.11.03
Irreducibility
notes 15
problems 07
2020.11.05
Modules
notes 16
2020.11.10
Products and sums
notes 17
problems 08
2020.11.12
Vector spaces
notes 18
2020.11.17
Free submodules and matrices
notes 19
problems 09
2020.11.19
Modules over PIDs
notes 20
2020.11.24
Structure theorems
notes 21
problems 10
2020.11.26
Categories
notes 22
2020.12.01
Functors
notes 23
problems 11
2020.12.03
Universal properties
notes 24
2020.12.08
problems 12
2020.12.17
Written exam
exam problems
2020.12.18
Oral exam
exam questions